WENO type entropy consistent scheme for hyperbolic conservation laws

Cheng Xiao-han; Feng Jian-hu; Nie Yu-feng

doi:10.11883/1001-1455(2014)04-0501-07

Volume 34 Issue 4

Sep. 2014

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Cheng Xiao-han, Feng Jian-hu, Nie Yu-feng. WENO type entropy consistent scheme for hyperbolic conservation laws[J]. Explosion And Shock Waves, 2014, 34(4): 501-507. doi: 10.11883/1001-1455(2014)04-0501-07

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Cheng Xiao-han, Feng Jian-hu, Nie Yu-feng. WENO type entropy consistent scheme for hyperbolic conservation laws[J]. Explosion And Shock Waves, 2014, 34(4): 501-507. doi: 10.11883/1001-1455(2014)04-0501-07

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WENO type entropy consistent scheme for hyperbolic conservation laws

doi: 10.11883/1001-1455(2014)04-0501-07

1.
Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, Shaanxi, China
2.
College of Science, Chang'an University, Xi'an 710064, Shaanxi, China

Funds: Supported bythe National Natural Science Foundation of China (11171043)

More Information

Corresponding author: Nie Yu-feng, yfnie@nwpu.edu.cn
Received Date: 2012-11-22
Rev Recd Date: 2013-06-03
Publish Date: 2014-07-25

Abstract

Abstract

Compared with entropy stable schemes, entropy consistent schemes control entropy production more exactly and effectively eliminate phenomena such as expansion shocks and spurious oscillations. By using WENO (weighted essentially non-oscillatory) reconstruction of higher order at cell interfaces, a WENO type entropy consistent scheme for hyperbolic conservation laws is presented. The one-dimentional Burgers equation and Euler equations are used to test the proposed scheme. The numerical experiments demonstrate that the scheme is accurate and essentially non-oscillatory.
- fluid mechanics,
- WENO type entropy consistent scheme,
- WENO reconstruction,
- hyperbolic conservation laws

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References(9)

References

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